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Finding the Fourth Proportional to 3,992.44, 5,989.88 and 2,046.02

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Solution

The fourth proportional to 3,992.44, 5,989.88 and 2,046.02 is: 3,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.44 : 5,989.88 = 2,046.02 : x
  2. Step 2: Convert to fraction form
    3,992.44/5,989.88 = 2,046.02/x
  3. Step 3: Cross multiply
    3,992.44x = 5,989.88 × 2,046.02
  4. Step 4: Simplify right side
    3,992.44x = 12,255,414.28
  5. Step 5: Solve for x
    x = 12,255,414.28/3,992.44
  6. Step 6: Final answer
    x = 3,069.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.